scholarly journals Time-dependent Reliability Analysis of Timber-Concrete Composite Beams

2017 ◽  
Author(s):  
Nikola Velimirovic ◽  
Dragoslav Stojić ◽  
Miodrag Djordjević ◽  
Gordana Topličić-Ćurčić
Keyword(s):  
Reliability Analysis ◽  
Process Model ◽  
Composite System ◽  
Random Variable ◽  
Composite Beams ◽  
Time Dependent ◽  
Deterioration Rate ◽  
Time Period ◽  
Deterioration Process ◽  
Service Life Estimation

Timber-concrete composite system is increasing the use of timber in construction because some structures could not be built by timber alone, but it becomes possible with this composite system. The deterioration of structures in service is generally uncertain over time, therefore the appropriate approach for the structural analysis is a time-dependent reliability analysis that considers the randomness and uncertainties of deterioration process over a time period. This paper describes two methods for time dependent reliability analysis, random variable deterioration rate model and gamma process model, and compares the deterioration prediction as well as service life estimation of timber-concrete composite beams under normal use based on proposed models.

An Envelope Approach to Time-Dependent Reliability Analysis for Mechanisms

2013 ◽  
Author(s):  
Xiaoping Du
Keyword(s):  
Reliability Analysis ◽  
Envelope Function ◽  
Time Dependent ◽  
Normal Distribution Function ◽  
Maximum Probability ◽  
Accuracy Improvement ◽  
Motion Error ◽  
Time Period ◽  
Time Dependent Problem ◽  
Dependent Mechanism

This work is concerned with the time-dependent mechanism reliability defined over a period of time where a certain motion output is required. An envelope approach is proposed to improve the accuracy of the time-dependent mechanism reliability analysis. The envelope function of the motion error over the time period is created. Since the envelope function is not explicitly related to time, the time-dependent problem is converted into a time-independent problem. Then the envelope function is approximated by piecewise hyper-planes. To find the expansion points of the hyper-planes, the approach linearizes the motion error at the means of random dimension variables, and this approximation is accurate because the tolerances or the variances of the dimension variables are small. Then the expansion points are found with the maximum probability density at the failure threshold. The time-dependent mechanism reliability is then estimated by a multivariable normal distribution function at the expansion points. As an example, analytical equations are derived for a four-bar function generating mechanism. The numerical example shows the significant accuracy improvement.

STRUCTURAL RELIABILITY ANALYSIS BASED ON P-BOXES

2020 ◽  
Vol 92 (6) ◽  
pp. 51-58
Author(s):  
S.A. SOLOVYEV ◽  
Keyword(s):  
Probability Distribution ◽  
Reliability Analysis ◽  
Structural Reliability ◽  
Epistemic Uncertainty ◽  
Random Variable ◽  
Strength Criterion ◽  
Structural Elements ◽  
Structural Element ◽  
Limit States ◽  
Distribution Shape

The article describes a method for reliability (probability of non-failure) analysis of structural elements based on p-boxes. An algorithm for constructing two p-blocks is shown. First p-box is used in the absence of information about the probability distribution shape of a random variable. Second p-box is used for a certain probability distribution function but with inaccurate (interval) function parameters. The algorithm for reliability analysis is presented on a numerical example of the reliability analysis for a flexural wooden beam by wood strength criterion. The result of the reliability analysis is an interval of the non-failure probability boundaries. Recommendations are given for narrowing the reliability boundaries which can reduce epistemic uncertainty. On the basis of the proposed approach, particular methods for reliability analysis for any structural elements can be developed. Design equations are given for a comprehensive assessment of the structural element reliability as a system taking into account all the criteria of limit states.

scholarly journals Time-Dependent Reliability Analysis of Reinforced Concrete Beams Subjected to Uniform and Pitting Corrosion and Brittle Fracture

Materials ◽  
2021 ◽  
Vol 14 (8) ◽  
pp. 1820
Author(s):  
Mohamed El Amine Ben Seghier ◽  
Behrooz Keshtegar ◽  
Hussam Mahmoud
Keyword(s):  
Reinforced Concrete ◽  
Brittle Fracture ◽  
Reliability Analysis ◽  
Pitting Corrosion ◽  
Structural Reliability ◽  
Time Dependent ◽  
State Function ◽  
Rc Beams ◽  
Highly Nonlinear ◽  
Reliability Method

Reinforced concrete (RC) beams are basic elements used in the construction of various structures and infrastructural systems. When exposed to harsh environmental conditions, the integrity of RC beams could be compromised as a result of various deterioration mechanisms. One of the most common deterioration mechanisms is the formation of different types of corrosion in the steel reinforcements of the beams, which could impact the overall reliability of the beam. Existing classical reliability analysis methods have shown unstable results when used for the assessment of highly nonlinear problems, such as corroded RC beams. To that end, the main purpose of this paper is to explore the use of a structural reliability method for the multi-state assessment of corroded RC beams. To do so, an improved reliability method, namely the three-term conjugate map (TCM) based on the first order reliability method (FORM), is used. The application of the TCM method to identify the multi-state failure of RC beams is validated against various well-known structural reliability-based FORM formulations. The limit state function (LSF) for corroded RC beams is formulated in accordance with two corrosion types, namely uniform and pitting corrosion, and with consideration of brittle fracture due to the pit-to-crack transition probability. The time-dependent reliability analyses conducted in this study are also used to assess the influence of various parameters on the resulting failure probability of the corroded beams. The results show that the nominal bar diameter, corrosion initiation rate, and the external loads have an important influence on the safety of these structures. In addition, the proposed method is shown to outperform other reliability-based FORM formulations in predicting the level of reliability in RC beams.

scholarly journals MULTIDIMENSIONAL INFRASTRUCTURE DETERIORATION PROCESS MODEL

2016 ◽  
Vol 72 (1) ◽  
pp. 34-51
Author(s):  
Daijiro MIZUTANI ◽  
Kengo OBAMA ◽  
Kiyoyuki KAITO ◽  
Kiyoshi KOBAYASHI
Keyword(s):  
Process Model ◽  
Deterioration Process

Uncertain time-dependent reliability analysis of corroded RC structures applying three-term conjugate method

2020 ◽  
Vol 115 ◽  
pp. 104599 ◽  
Author(s):  
Mansour Bagheri ◽  
Seyed Abbas Hosseini ◽  
Behrooz Keshtegar ◽  
José A.F.O. Correia ◽  
Nguyen-Thoi Trung
Keyword(s):  
Reliability Analysis ◽  
Time Dependent ◽  
Rc Structures ◽  
Uncertain Time

Coordinate control of prostaglandin E2 synthesis and uptake by hyperosmolarity in renal medullary interstitial cells

2006 ◽  
Vol 290 (3) ◽  
pp. F641-F649 ◽  
Author(s):  
Michael L. Pucci ◽  
Shinichi Endo ◽  
Teruhisa Nomura ◽  
Run Lu ◽  
Cho Khine ◽  
...  
Keyword(s):  
Cell Surface ◽  
Characteristic Time ◽  
Water Deprivation ◽  
Interstitial Cells ◽  
Time Dependent ◽  
Prostaglandin E ◽  
Coordinate Control ◽  
Time Period ◽  
Cox 2 ◽  
Net Release

During water deprivation, prostaglandin E2 (PGE2), formed by renal medullary interstitial cells (RMICs), feedback inhibits the actions of antidiuretic hormone. Interstitial PGE2 concentrations represent the net of both PGE2 synthesis by cyclooxygenase (COX) and PGE2 uptake by carriers such as PGT. We used cultured RMICs to examine the effects of hyperosmolarity on both PG synthesis and PG uptake in the same RMIC. RMICs expressed endogenous PGT as assessed by mRNA and immunoblotting. RMICs rapidly took up [3H]PGE2 to a level 5- to 10-fold above background and with a characteristic time-dependent “overshoot.” Inhibitory constants ( Ki) for various PGs and PGT inhibitors were similar between RMICs and the cloned rat PGT. Increasing extracellular hyperosmolarity to the range of 335–485 mosM increased the net release of PGE2 by RMICs, an effect that was concentration dependent, maximal by 24 h, reversible, and associated with increased expression of COX-2. Over the same time period, there was decreased cell-surface activity of PGT due to internalization of the transporter. With continued exposure to hyperosmolarity over 7–10 days, PGE2 release remained elevated, COX-2 returned to baseline, and PGT-mediated uptake became markedly reduced. Our findings suggest that hyperosmolarity induces coordinated changes in COX-2-mediated PGE2 synthesis and PGT-mediated PGE2 uptake in RMICs.

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